the derivative of 3x is 3 the derivative of x cubed is 3 times x squared

The derivative of cos(x) is negative sin(x). Also, the derivative of sin(x) is cos(x).

the derivative of 1x would be 1 the derivative of x to the power of 1 would be 1. the derivative of x+1 would be 1 the derivative of x-1 would be 1

im not sure what you are asking, but however you put it, it's 1.

Yes, the derivative of an equation is the slope of a line tangent to the graph.

Derivative of natural log x = 1/x